The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients,
oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats
and rice it should include in each box of cereal to meet the minimum requirements of 48 milligrams of vitamin A and 12 milligrams of vitamin B while minimizing cost. An ounce of oats
contributes 8 milligrams of vitamin A and 1 milligram of vitamin B, whereas an ounce of rice
contributes 6 milligrams of A and 2 milligrams of B. An ounce of oats costs $0.05, and an ounce
of rice costs $0.03.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.